OCR MEI FP1 2010 June — Question 2

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJune
TopicMatrices

2 You are given that \(\mathbf { M } = \left( \begin{array} { r r } 2 & - 5
3 & 7 \end{array} \right)\).
\(\mathbf { M } \binom { x } { y } = \binom { 9 } { - 1 }\) represents two simultaneous equations.
  1. Write down these two equations.
  2. Find \(\mathbf { M } ^ { - 1 }\) and use it to solve the equations.